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Numerical Solution of Second-Order Differential Equation Arise in RLC Circuits via Finite Difference Method and Cubic B-spline Method.

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Title: Numerical Solution of Second-Order Differential Equation Arise in RLC Circuits via Finite Difference Method and Cubic B-spline Method.
Authors: Pandey, Aprajita1 aprajita.pandey.btech2022@sitpune.edu.in, Lodhi, Ram Kishun2 ramkishun.lodhi@sitpune.edu.in
Source: IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2667-2673. 7p.
Subjects: Resistor-inductor-capacitor circuits, Finite difference method, Numerical analysis, Transient analysis, Ordinary differential equations, Iterative methods (Mathematics)
Abstract: This study presents the Finite difference method (FDM) and Cubic B-spline method (CBSM) to acquire numerical treatment of second-order differential equations (SODE) arising in RLC circuits. These approaches have been expanded and implemented to examine the transient analysis of RLC circuits. We have scrutinized the dominance and eminence of these methods over another. The CBSM is discovered to be the best numerical approach as compared with FDM due to the reliability and high accuracy of approximations. Moreover, we study the convergence of proposed methods and found them to be second order. FDM and CBSM have implemented on two cases of SODE arise in RLC circuit to verify the theoretical results. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 195026899
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  Data: Numerical Solution of Second-Order Differential Equation Arise in RLC Circuits via Finite Difference Method and Cubic B-spline Method.
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  Data: <searchLink fieldCode="AR" term="%22Pandey%2C+Aprajita%22">Pandey, Aprajita</searchLink><relatesTo>1</relatesTo><i> aprajita.pandey.btech2022@sitpune.edu.in</i><br /><searchLink fieldCode="AR" term="%22Lodhi%2C+Ram+Kishun%22">Lodhi, Ram Kishun</searchLink><relatesTo>2</relatesTo><i> ramkishun.lodhi@sitpune.edu.in</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jul2026, Vol. 56 Issue 7, p2667-2673. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Resistor-inductor-capacitor+circuits%22">Resistor-inductor-capacitor circuits</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+difference+method%22">Finite difference method</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Transient+analysis%22">Transient analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study presents the Finite difference method (FDM) and Cubic B-spline method (CBSM) to acquire numerical treatment of second-order differential equations (SODE) arising in RLC circuits. These approaches have been expanded and implemented to examine the transient analysis of RLC circuits. We have scrutinized the dominance and eminence of these methods over another. The CBSM is discovered to be the best numerical approach as compared with FDM due to the reliability and high accuracy of approximations. Moreover, we study the convergence of proposed methods and found them to be second order. FDM and CBSM have implemented on two cases of SODE arise in RLC circuit to verify the theoretical results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 7
        StartPage: 2667
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      – SubjectFull: Resistor-inductor-capacitor circuits
        Type: general
      – SubjectFull: Finite difference method
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Transient analysis
        Type: general
      – SubjectFull: Ordinary differential equations
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
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      – TitleFull: Numerical Solution of Second-Order Differential Equation Arise in RLC Circuits via Finite Difference Method and Cubic B-spline Method.
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              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
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